Collect. Czech. Chem. Commun. 1979, 44, 2086-2091

Comments on the concentration-dependence of the viscosity of solutions of discrete particles in a homogeneous continuum

Josef Kovář and Miloslav Bohdanecký

Institute of Macromolecular Chemistry, Czechoslovak Academy of Sciences, 162 06 Prague 6


It has been demonstrated that, for systems containing discrete particles dispersed in a continuum, the mathematical relation between viscosity and concentration is the same over the whole concentration range, provided that certain conditions are fulfilled; those conditions are: a) concentration is expressed as the volume fraction of the particles in the solution; b) the particles interact only hydrodynamically. This statement is true both for monodisperse solutions, in which the absolute size of particles may vary from one solution to another and for heterodisperse solutions but in the latter case it must be stipulated that all the solutions must contain the same qualitative distribution of shapes and sizes, so that they differ from one another only in the sense that each individual particle is scaled (up or down) relatively to the corresponding particle in another solution by a factor which is constant for all the particles.